A construction of orthogonal arrays and applications to embedding theorems

DOI10.1016/0012-365X(82)90037-1zbMath0483.05019MaRDI QIDQ1163026

Robert A. Chaffer

Publication date: 1982

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

embedding of quasigroupsorthogonal array of strength t

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)

Cites Work

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• Finite partial quadruple systems can be finitely embedded
• A partial Steiner triple system of order n can be embedded in a Steiner triple system of order 6n + 3
• Strong finite embeddability for classes of quasigroups
• A finite partial idempotent latin cube can be embedded in a finite idempotent latin cube
• Two finite embedding theorems for partial 3-quasigroups
• On the conjugates of an \(n\times 4\) orthogonal array
• Steiner quadruple systems - a survey
• On the finite completion of partial latin cubes
• The completion of finite incomplete Steiner triple systems with applications to loop theory
• Small Embeddings for Partial Semisymmetric and Totally Symmetric Quasigroups

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